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Finding the Fourth Proportional to 493.72, 681.35 and 307.13

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Solution

The fourth proportional to 493.72, 681.35 and 307.13 is: 423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.72 : 681.35 = 307.13 : x
  2. Step 2: Convert to fraction form
    493.72/681.35 = 307.13/x
  3. Step 3: Cross multiply
    493.72x = 681.35 × 307.13
  4. Step 4: Simplify right side
    493.72x = 209,258.08
  5. Step 5: Solve for x
    x = 209,258.08/493.72
  6. Step 6: Final answer
    x = 423.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.